 Instructor: Dr.
Dashun Xu
Office: 273 Neckers Hall A Wing
Office Hours: MWF 11am-12:20pm, TTh 1:50-2:50pm
or by appointment
E-mail: dashunxu@.siu.edu Phone: 453-6598
Text Books:
1.
Elementary Differential
Equations and Boundary Value Problems, 10th Ed., by Boyce and
DiPrima.
2.
Differential Equations with
Matlab, 2nd Ed., by B. R. Hunt, R. L. Lipsman, J. E.
Osborn, J. M. Rosenberg
Coverage:
Chapter
7, 9 of Textbook 1. If possible, some applications in Mathematical
Biology will be included.
Some MATLAB
Resources
Exams
One midterm
and one comprehensive final exams.
Grading Policy:
Your course grade will be
computed as follows:
50% from homework, MATLAB
projects and quizzes, 50% from the mid-term exam and the final
(25% each).
Letter
grades will then be assigned according to the scale:
A,
100-90; B, 89-80; C, 79-70; D, 69-60; F, below 59.
Homework and
Projects:
All
assignments will be collected every Friday in class and only a few
questions in each assignment will be graded. Late homework and projects
will not be accepted.
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Date
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Homework
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Due Day
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Week 1
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Review basic concepts
and methods from Math 305
Review of
integration and Key to the practicing problems
Examples for separable
equations, exact equations and drawing phase lines
Matlab homework
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Week 2
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M: 7.1: 3, 6, 8
(please take a look at 7), 16, together with either the set of 17, 18
or the set of 19, 20.
M: 7.1, WF: 7.2
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Homework for 7.1
and Matlab homework due this Fri.
Seems
that Matlab changed a little bit. So, please change the problem 7 for
Mathlab homework into
Y’= t^2/ (1+y)
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Week 3
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W 7.2; F 7.3;
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No homework due
this week
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Week 4
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7.2: 4, 8, 11, 16,
22, 25,
7.3: 1, 2, 3, 5; Check the dependence of
the vectors given in 7, 8, 9;;
MWF 7.3
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Due on Fri.
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Week 5
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7:3: 15, 18, 21,
24
7.4: 5, 2(a,b,c),
3, optional: 4, 8.
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Due on Fri.
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Week 6
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7.5: Find the
general solution for 1, 3, 5
Matlab: draw
direction fields for 1,3,5 using computer, and sketch a few
trajectories by computer or hand in your direction fields.
Although I know
some of you may not have access to Matlab, I still hope you find some
free software which can draw direction fields to do the Mathlab
projects.
MWF 7.4-7.5
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Due on Fri for
Week 6 homework.
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Week 7
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7.5: 7, 11, 15,
17, 24, 25, 27; optional: 19, 21, 28
Draw direction
field for 7 using Matlab and then on top of it, draw a phase portrait
for the system.
MWF 7.5
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Due on Fri.???
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Week 8
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Find the general
solutions, sketch phase portrait and direction field for 7.6: 2, 3,
Find the general
solution for 7.6: 7
7.6: 9; 7.6: 13, 15
7.8: find the
general solution and use Matlab draw the direction field for 1, 3
7.8: Sketch the
phase portraits of 1,3 (Please check the direction fields you got )
MWF 7.6
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Due on Fri.
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Week 9
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MWF 7.7-7.8
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Week 8 homework
due on Mon.
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Week 10
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7.7: 1, 3, 5, 9,
11
7.9: 1,3,5,7,9
A sample
exam
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Due on Fri.
Exam on Fri!!!
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Week 11
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9.1: 1, 2, 4, 5,
6, 10, 11(only a,b,c for 1-11),
13, 15
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The homework for
9.1 will not be collected.
But I suggest you all try them because they are kind of review problems
for the exam.
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Week 12
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9.2: 5(a), 6 (a);
15(a),22(a);
Matlab: 9.2: 5
(bc), 6(bc), 15(b), 22(b)
Optional problems
for 9.2, 19(a), 24, 25.
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Due on Fri.
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Week 13
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Week 14
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9.3: 1, 2,
5(a,b,c), 7(a,b,c), 11(a,b,c)
Matlab: draw the
direction fields and then on top of them sketch phase portraits for
5,7,11(d)
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Week 15
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Review 9.1 and 9.2, 9.3, midterm
sample and actual exams, plus
Sample
exam and related problems
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Final
exam: 10:15—12:15pm, Dec 10, Fri.
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Make-up Policy:
Make-up
exams will only be granted to students who have convincing excuses and
have informed me in advance. And proper documentation is needed.
Attendance:
Regular
attendance to the lectures is strongly
advised.
You will be responsible for all the material presented in the class,
regardless of whether or not you were present.
Study Hint:
Find at least one or
two other students from the class with whom you can regularly do
homework and prepare for exams. Your classmates are perhaps the least
used and arguably your best resource. An efficient and effective study
group will streamline homework and study time, reduce the need for
attendance at office hours, and greatly improve your written and spoken
communication. The best time to use your classmates as study/homework
partners is after you have made an honest effort on your own to
solve the problems using your own wits, knowledge, and experience. When
you encounter an unsolvable problem, don't give up too soon on it.
Being stumped is an opportunity for mathematical growth and insight,
even if you never solve the problem on your own. If you seek help
prematurely, you will never know if you could have solved a tough
problem without outside assistance.
Syllabus
Attachment:
https://pvcaa.siu.edu/_common/documents/provost-memos/syllabus-attachment-fall-2021.pdf.pdf
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